Transformations Worksheet
Name:
1.
Date:
Parallelogram ABCD was translated to
parallelogram A'B'C'D'.
2.
A shape is shown below.
Which shows this shape transformed by a ip?
A.
B.
C.
D.
How many units and in which direction were the
x-coordinates of parallelogram ABCD moved?
A.
3 units to the right
B.
3 units to the left
C.
7 units to the right
D.
7 units to the left
page 1
3.
Joanne and Christopher are designing a quilt. They start by creating a triangle shape in the lower left quadrant as
shown below.
They transform it by rotating the triangle shown above 90 clockwise about the origin. What does the new design
look like?
A.
B.
C.
D.
page 2
Transformations Worksheet
4.
Alyssa made the design shown below.
Which transformation could be used to show that
gure A is congruent to gure B?
A.
add 5 to each x-coordinate
B.
multiply each y-coordinate by
1
C.
multiply each x-coordinate by
1
D.
rotate the gure 90 degrees about the origin
page 3
Transformations Worksheet
5.
Which graph shows a re ection of the rectangle across the horizontal dotted line?
A.
B.
C.
D.
page 4
Transformations Worksheet
6.
Polygon A will be rotated counter-clockwise 90 about point P to form polygon A0 .
A.
B.
C.
D.
page 5
Transformations Worksheet
7.
Which of the following is a single re ection of gure N over the y-axis to form N 0 ?
A.
B.
C.
D.
page 6
Transformations Worksheet
8.
Which gure shows the triangle below re ected over the x-axis, then re ected over the y-axis?
A.
B.
C.
D.
page 7
Transformations Worksheet
9.
Figure EFGH in the coordinate plane has vertices
at ( 5; 2), ( 5; 2), ( 1; 2), and ( 1; 2).
10.
What are the coordinates of R0 S0 T 0 if the gure is
re ected over the x-axis and translated down two
units?
If the gure is translated 5 units to the right
and 2 units up, what are the coordinates of the
E0 F 0 G0 H0 ?
A.
(0; 4), (0; 0), (4; 0), (4; 4)
B.
( 3; 7), ( 3; 3), (1; 3), (1; 7)
C.
( 10; 0), ( 10; 4), ( 6; 4), ( 6; 0)
D.
( 7; 3), ( 7; 7), ( 3; 7), ( 3; 3)
Triangle RST is shown in the coordinate plane.
11.
A.
(1; 6), (1; 9), (6; 9)
B.
(3; 4), (3; 7), (8; 7)
C.
(1; 2), (1; 5), (6; 5)
D.
(3; 2), (3; 5), (8; 5)
The shaded piece has been transformed into a
frieze pattern.
Which transformations best describe how the
pattern was created?
page 8
A.
re ections
B.
translations
C.
re ections and rotations
D.
translations and rotations
Transformations Worksheet
12.
Which of the following transformations always
preserves the dimensions of a gure?
15.
If trapezoid KLMN shown below is re ected across
the x-axis to form trapezoid K 0 L0 M0 N 0 , what are
the apparent coordinates of M0 ?
I. translation
II. rotation
III. re ection
IV. dilation
13.
A.
I, II, and III
B.
I, II, and IV
C.
I, III, and IV
D.
II, III, and IV
What is the apparent image of X when triangle
WXY is translated 2 units down and 5 units right?
A.
( 4; 5)
B.
( 4; 5)
C.
(4; 5)
D.
(4; 5)
16. ^ XYZ is translated 3 units to the right and 2 units
down.
A.
14.
(1; 3)
B.
(3; 1)
C.
(4; 6)
D.
(6; 4)
If a polygon is translated, which of the following
characteristics of the polygon are the same?
I. Side lengths
II. Area
III. The coordinates of the vertices.
A.
I, II, III
B.
II and III
C.
I and III
D.
I and II
What will be the apparent coordinates of the
image of point X?
A.
page 9
(0; 8)
B.
(3; 5)
C.
(5; 3)
D.
(8; 0)
Transformations Worksheet
17.
18.
Figure EFGH has a perimeter of 40 cm and an
area of 96 cm2 . It is dilated by a factor of 41 to
create gure E0 F 0 G0 H0 . What statement about the
perimeter (P) and the area (A) of gure E0 F 0 G0 H0
is true?
A.
P = 10 cm; A = 6 cm2
B.
P = 10 cm; A = 24 cm2
C.
P = 160 cm; A = 192 cm2
D.
P = 160 cm; A = 384 cm2
19.
Study ^ RST on the grid below.
Triangle PQR is shown.
When ^RST is translated 4 units down, what are
the apparent coordinate of T 0 ?
20.
What are the coordinates of P0 when ^PQR is
dilated by a scale factor of 3 using the origin as
the center?
A.
(6; 18)
B.
3;
2
3
C.
2
;3
3
D.
(18; 6)
21.
page 10
A.
( 8; 1)
B.
( 4; 1)
C.
( 1; 8)
D.
(0; 4)
A polygon has been rotated about the origin.
Which statement must be true?
A.
The lengths of the sides are doubled.
B.
The area of the polygon did not change.
C.
The coordinates of the vertices did not change.
D.
The area of the polygon is 4 Times its original
area.
Three transformations will be performed on
triangle ABC. Which set of transformations will
always produce a congruent triangle?
A.
dilation, rotation, translation
B.
re ection, dilation, translation
C.
rotation, re ection, dilation
D.
rotation, translation, re ection
Transformations Worksheet
22.
Which gure has a line of symmetry and rotational
symmetry?
24.
If triangle ABC is rotated 180 degrees about the
origin, what are the coordinates of A0 ?
A.
B.
A.
( 5; 4)
B.
( 5; 4)
C.
( 4; 5)
D.
( 4; 5)
C.
25.
Trapezoid ABCD below is to be translated to
trapezoid A'B'C'D' by the following motion rule.
(x; y) ! (x + 3; y
4)
D.
23.
The vertices of ^ABC are A(2; 1), B(3; 4), and
C(1; 3). If ^ABC is translated 1 unit down and
3 units to the left to create ^DEF, what are the
coordinates of the vertices of ^DEF?
A.
D(0; 1), E(1; 2), F(1; 3)
B.
D(0; 1), E(0; 3), F( 2; 2)
C.
D( 2; 2), E(0; 3), F( 1; 0)
D.
D( 1; 0), E(0; 3), F( 2; 2)
What will be the coordinates of vertex C0 ?
page 11
A.
(1; 3)
B.
(2; 1)
C.
(6; 1)
D.
(8; 3)
Transformations Worksheet
26.
Which expression describes the translation of a
point from ( 3; 4) to (4; 1)
A.
7 units left and 5 units up
B.
7 units right and 5 units up
C.
7 units left and 5 units down
D.
7 units right and 5 units down
29.
Coach Nelson is designing a new park that will
have both a baseball diamond and a softball
diamond. The baseball diamond will have the
same dimensions as the softball diamond. A
diagram of the park with the placement of the
softball diamond is shown below.
27.
Triangle DEF is re ected on the y-axis to form
triangle D0 E0 F 0 , what is the relationship of the
coordinates of ^DEF and ^D0 E0 F 0 ?
A.
The x-coordinates are the same on both
triangles while the y-coordinates are opposites.
B.
The x-coordinate and the y-coordinates are
equal to each other in the triangles.
C.
The y-coordinates are the same on both
triangles while the x-coordinates are opposites.
D.
The position of the baseball diamond will be
determined by the re ection of the image of the
softball diamond about the line y = x. What are
the coordinates of the re ected image of point C?
There is no relationship between the
coordinates
30.
A.
(3; 9)
B.
C.
( 9; 3)
D.
(9; 3)
(3; 9)
What is the re ection across the x axis of
point A(4; 1)?
28.
Triangle DEF is re ected on the y-axis to create
another triangle, what are the coordinates of
point D in the re ected triangle?
A.
(3; 4)
B.
(3; 4)
C.
( 3; 4)
D.
( 3; 4)
page 12
A.
(0; 1)
B.
( 4; 1)
C.
( 4; 1)
D.
(4; 1)
Transformations Worksheet
31.
Use this graph to answer the question.
33.
Jody has corners for a picture frame.
Which transformation could she use to show that
corners 1 and 2 are congruent?
A dilation of scale factor 2 is applied to rectangle
ABCD, centered at the origin. What are the
coordinates of B'?
A.
32.
(1; 2)
B.
(2; 1)
C.
(4; 8)
D.
A.
re ection across line m
B.
re ection across line n
C.
translation to the right
D.
rotation 180 degrees clockwise
(8; 4)
The trapezoid is translated 7 units to the right,
and then re ected across the x-axis.
Which ordered pair describes the image of point A?
A.
(1; 2)
B.
(1; 2)
C.
( 1; 2)
D.
( 6; 5)
page 13
Transformations Worksheet
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Transformations Worksheet
01/21/2014
1.
Answer:
D
21.
Answer:
D
2.
Answer:
D
22.
Answer:
A
3.
Answer:
B
23.
Answer:
D
4.
Answer:
C
24.
Answer:
A
5.
Answer:
D
25.
Answer:
D
6.
Answer:
D
26.
Answer:
D
7.
Answer:
A
27.
Answer:
C
8.
Answer:
D
28.
Answer:
D
9.
Answer:
A
29.
Answer:
C
10.
Answer:
D
30.
Answer:
D
11.
Answer:
A
31.
Answer:
D
12.
Answer:
A
32.
Answer:
B
13.
Answer:
D
33.
Answer:
B
14.
Answer:
D
15.
Answer:
C
16.
Answer:
C
17.
Answer:
A
18.
Answer:
D
19.
Answer:
C
20.
Answer:
B